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Finding the Third Proportional to 63,142 and 138,154

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Solution

The third proportional to 63,142 and 138,154 is: 302,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,142 : 138,154 = 138,154 : x
  2. Step 2: Convert to fraction form
    63,142/138,154 = 138,154/x
  3. Step 3: Cross multiply
    63,142x = 138,154 × 138,154
  4. Step 4: Simplify right side
    63,142x = 19,086,527,716
  5. Step 5: Solve for x
    x = 19,086,527,716/63,142
  6. Step 6: Final answer
    x = 302,279.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.